12440311000 has 256 divisors, whose sum is σ = 33484389120. Its totient is φ = 4285440000.

The previous prime is 12440310973. The next prime is 12440311003. The reversal of 12440311000 is 11304421.

It is a super-2 number, since 2×12440311000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440311003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40000845 + ... + 40001155.

It is an arithmetic number, because the mean of its divisors is an integer number (130798395).

Almost surely, 2^12440311000 is an apocalyptic number.

12440311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12440311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16742194560).

12440311000 is an abundant number, since it is smaller than the sum of its proper divisors (21044078120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12440311000 is a wasteful number, since it uses less digits than its factorization.

12440311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12440311000 its reverse (11304421), we get a palindrome (12451615421).

It can be divided in two parts, 12440 and 311000, that multiplied together give a square (3868840000 = 62200²).

The spelling of 12440311000 in words is "twelve billion, four hundred forty million, three hundred eleven thousand".